Grade 5 Curriculum

Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home

Important: this is a guide only.
Check with your local education authority to find out their requirements.

Grade 5 | Multiplication
☐ Use a variety of strategies to multiply three-digit by three-digit numbers Note: Multiplication by anything greater than a three-digit multiplier/ multiplicand should be done using technology.
Reaction Math
Long Multiplication
Long Multiplication Worksheets
Test your Multiplication - Times Tables From 2 to 15
☐ Understand how to multiply by negative numbers
Multiplying Negatives Makes A Positive
Whole Numbers and Integers
Definition of Negative
Number Line
☐ Develop fluency with multiplication facts up to 12x
Definition of Times Tables
Math Trainer - Multiplication
Multiplication Worksheets
Multiplication - Times Tables
Multiplication Tips and Tricks
Printable Multiplication Table
Printable Multiplication Table - Small Size
Test your Maths
Test your Multiplication - Times Tables From 2 to 15
Grade 5 | Division
☐ Use a variety of strategies to divide three-digit or four-digit numbers by one-digit or two-digit numbers Note: Division by anything greater than a two-digit divisor should be done using technology.
Division Worksheets
Fix the Equation
Division
☐ Easily test if one number can be evenly divided by another by using divisibility rules.
Divisibility Rules (Tests)
Factors and Multiples
Grade 5 | Numbers
☐ Read and write whole numbers to millions
Place Value
Definition of Whole Number
Activity: Count to a Billion
☐ Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple divisors (composite)
Activity: Drawing Stars
Prime Numbers Chart and Calculator
Prime and Composite Numbers
Definition of Prime Number
Definition of Composite Number
Prime Number List
☐ Calculate multiples of a whole number and the least common multiple of two numbers
Least Common Multiple
Least Common Multiple Calculator
Definition of Least Common Multiple
Factors and Multiples
Definition of Multiple
☐ Identify the factors of a given number
All Factors of a Number
Definition of Factor
Prime Factorization
Divisibility Rules (Tests)
Prime and Composite Numbers
Prime Factorization Tool
Factors and Multiples
☐ Find the common factors and the greatest common factor of two numbers
Greatest Common Factor
Greatest Common Factor Calculator
Definition of Greatest Common Factor
Definition of Common Factor
Factors and Multiples
Definition of Factor
☐ Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parentheses
Brackets (Parentheses)
Smart Blocks
Order of Operations - BODMAS
Order of Operations - PEMDAS
Definition of Order of Operations
Order of Operations Calculator
☐ Compare and order numbers to millions
Definition of Ordering
Ordering Numbers
Ordering Game
☐ Round numbers to the nearest hundredth and up to the nearest 10,000
Rounding Numbers
Definition of Rounding
Place Value
Decimals
☐ Understand the place value structure of the base ten number system: * 10 ones = 1 ten * 10 tens = 1 hundred * 10 hundreds = 1 thousand * 10 thousands = 1 ten thousand * 10 ten thousands = 1 hundred thousand * 10 hundred thousands = 1 million
Activity: Count to a Billion
Place Value
Definition of Place Value
☐ Understand the difference between a factor and a multiple of an integer.
Factors and Multiples
Grade 5 | Decimals
☐ Compare decimals using <, >, or =
Equal, Less and Greater Than Symbols
Ordering Decimals
Definition of Ordering
Ordering Game
Compare Decimal Numbers 0 to 1
Compare Decimal Numbers: -1 to +1
Decimals
☐ Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths
Adding Decimals
Dividing Decimals
Multiplying Decimals
Dividing Decimals Animations
Multiplying Decimals Animations
Subtracting Decimals
Decimal Worksheets
☐ Read, write, and order decimals to thousandths
Decimals
Ordering Game
Ordering Decimals
Definition of Ordering
Compare Decimal Numbers 0 to 1
Compare Decimal Numbers: -1 to +1
Equal, Less and Greater Than Symbols
☐ Convert percents to decimals
Introduction to Percentages
Definition of Percent
Decimals, Fractions and Percentages
Convert Percents to Decimals
Grade 5 | Fractions
☐ Simplify fractions to lowest terms
Simplifying Fractions
Fraction Worksheets
Equivalent Fractions
Greatest Common Factor
Fractions
Fraction Number Line
Definition of Equivalent Fractions
☐ Convert improper fractions to mixed numbers, and mixed numbers to improper fractions
Improper Fractions
Mixed Fractions
Fraction Worksheets
Definition of Improper Fraction
Definition of Mixed Fraction
☐ Use a variety of strategies to add and subtract fractions with like denominators
Adding Fractions
Subtracting Fractions
Fraction Worksheets
Common Denominator
Least Common Denominator
☐ Add and subtract mixed numbers with like denominators
Adding Fractions
Mixed Fractions
Adding and Subtracting Mixed Fractions
Fraction Worksheets
Subtracting Fractions
☐ Estimate sums and differences of fractions with unlike denominators.
Comparing Fractions
Adding Fractions
Subtracting Fractions
☐ Create equivalent fractions, given a fraction
Equivalent Fractions
Fraction Worksheets
Definition of Equivalent Fractions
Simplifying Fractions
Fractions
Greatest Common Factor
Fraction Number Line
☐ Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc.
Compare Fractions
Comparing Fractions
Fraction Number Line
Ordering Game
Equivalent Fractions
Compare Unit Fractions
Number Line
☐ Compare fractions using <, >, or =
Compare Unit Fractions
Compare Fractions
Comparing Fractions
Equal, Less and Greater Than Symbols
Ordering Game
Common Denominator
Equivalent Fractions
☐ Add, subtract, multiply and divide fractions (including mixed fractions) whose denominators are powers of ten - decimal fractions.
Dividing Fractions
Multiplying Fractions
Decimal Fraction Worksheets
Reciprocal of a Fraction
Subtracting Fractions
Adding Fractions
☐ Divide a fraction by a whole number
Dividing Fractions By Whole Numbers
☐ Multiply a fraction by a whole number
Multiplying Fractions
☐ Express decimals as an equivalent form of fractions with denominators that are powers of 10, and simplify to lowest terms.
Decimals
Decimal Fraction Worksheets
Fraction/Decimal Chart
Decimals, Fractions and Percentages
Decimal to Fraction Converter
Convert Decimals to Fractions
☐ Convert percents to fractions
Introduction to Percentages
Convert Percents to Fractions
Decimals, Fractions and Percentages
Definition of Percent
Grade 5 | Percentages
☐ Understand that percent means part of 100
Introduction to Percentages
Definition of Percent
☐ Convert fractions or decimals to percents
Decimals, Fractions and Percentages
Convert Fractions to Percents
Convert Decimals to Percents
Grade 5 | Ratios
☐ Understand the concept of ratio
Ratios
Ratio - Make Some Chocolate Crispies
Ratio - Chocolate Crispies Recipe
Definition of Ratio
☐ Express ratios in different forms
Ratios
Ratio - Make Some Chocolate Crispies
Ratio - Chocolate Crispies Recipe
Grade 5 | Measurement
☐ Use a ruler to measure to the nearest centimeter or millimeter
Definition of Ruler
Metric Length
Activity: Discover Lengths
Activity: Personal Measures
Measuring Metrically with Maggie
☐ Determine personal references for metric units of length
Metric Length
Measuring Metrically with Maggie
Metric System of Measurement
Activity: Personal Measures
☐ Identify customary equivalent units of length (metric)
Unit Converter
Metric Length
Measuring Metrically with Maggie
☐ Convert lengths within the metric system
Unit Converter
Measuring Metrically with Maggie
Metric Length
☐ Determine the tools and techniques required to measure with an appropriate level of precision: lengths and angles
Accuracy and Precision
Definition of Ruler
Using a Protractor
Activity: Discover Lengths
Definition of Protractor
☐ Measure and draw angles using a protractor
Using a Protractor
Definition of Protractor
Degrees (Angles)
Pie Chart
Activity: How High?
☐ Understand Temperature
Interactive Thermometer
Definition of Temperature
Definition of Thermometer
Definition of Fahrenheit
Definition of Celsius
Introduction to US Standard Units
Measuring Metrically with Maggie
☐ Understand the Celsius and Fahrenheit temperature scales, including the freezing and boiling points of water on the two scales
Interactive Thermometer
Definition of Temperature
Definition of Thermometer
Definition of Fahrenheit
Definition of Celsius
Introduction to US Standard Units
Measuring Metrically with Maggie
☐ Use a ruler to measure to the nearest inch, 1/2, 1/4 or 1/8 inch
Activity: Personal Measures
Activity: Discover Lengths
Definition of Ruler
US Standard Lengths
Introduction to US Standard Units
☐ Determine personal references for US standard units of length
US Standard Lengths
Introduction to US Standard Units
Activity: Personal Measures
☐ Identify customary equivalent units of length (US)
Unit Converter
US Standard Lengths
Introduction to US Standard Units
☐ Convert lengths within the US system
Conversion of Length
Unit Converter
Introduction to US Standard Units
US Standard Lengths
Grade 5 | Time
☐ Calculate elapsed time in hours and minutes
Stopwatches
Adding and Subtracting Time
Definition of Minute
Definition of Hour
Midnight
Hourglasses 1
Hourglasses 2 Puzzle
Activity: Count to a Billion
☐ Convert times in minutes and seconds to seconds, or hours and minutes to minutes
Metric System of Measurement
Grade 5 | Geometry (Plane)
☐ Evaluate the perimeter formula for given input values
Definition of Perimeter
Perimeter
☐ Calculate the perimeter of regular and irregular polygons
Definition of Perimeter
Perimeter
Definition of Polygon
Definition of Regular Polygon
Polygons
Definition of Irregular Polygon
☐ Identify corresponding parts of congruent triangles
How To Find if Triangles are Congruent
Definition of Congruent
Congruent
Congruent Triangles
☐ Identify and draw lines of symmetry of basic geometric shapes
Geometry - Reflection
Symmetry Artist
Reflection Symmetry
Definition of Symmetry
Definition of Line Symmetry
Activity: Symmetry of Shapes
Lines of Symmetry of Plane Shapes
☐ Plot points to form basic geometric shapes (identify and classify)
Alien Mask From Coordinates
Diplodocus Using Coordinates
Point
Cartesian Coordinates
☐ Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes)
Perimeter
Rectangle
Cartesian Coordinates
Interactive Cartesian Coordinates
☐ Identify pairs of similar triangles, or other geometrical shapes
Similar
Definition of Similar
Similar Triangles
Sam Loyd's Juggler Puzzle
☐ Identify the ratio of corresponding sides of similar triangles
Similar Triangles
☐ Classify quadrilaterals by properties of their angles and sides
Interactive Quadrilaterals
Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram
Definition of Quadrilateral
Definition of Square
Definition of Rectangle
Definition of Rhombus
Definition of Trapezoid
Definition of Parallelogram
Definition of Kite
☐ Know that the sum of the interior angles of a quadrilateral is 360 degrees
Interior Angles of Polygons
Interactive Quadrilaterals
Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram
☐ Classify triangles by properties of their angles and sides
Interactive Triangles
Triangles - Equilateral, Isosceles and Scalene
Angles - Acute, Obtuse, Straight and Right
☐ Know that the sum of the interior angles of a triangle is 180 degrees
Interior Angles of Polygons
Triangles Contain 180 Degrees
Interactive Triangles
Triangles - Equilateral, Isosceles and Scalene
☐ Find a missing angle when given two angles of a triangle
Interior Angles of Polygons
Triangles Contain 180 Degrees
Interactive Triangles
Triangles - Equilateral, Isosceles and Scalene
☐ Identify pairs of congruent triangles, or other geometrical shapes
Congruent
Definition of Congruent
Congruent Triangles
How To Find if Triangles are Congruent
☐ Know that a right angle is 90 degrees, a straight angle is 180 degrees and a full circle is 360 degrees.
Right Angles
Supplementary Angles
Degrees (Angles)
Straight Angles
Exterior Angle
Exterior Angles of Polygons
Interior Angle
Complementary Angles
Full Rotation
Activity: Clocks and Angles
☐ Understand what is meant by the order of rotational symmetry of a plane shape, and know how to find its value.
Rotational Symmetry
Point Symmetry
Activity: Make a Mandala
Symmetry - Reflection and Rotation
Symmetry Artist
☐ Understand what is meant by regular and irregular polygons; convex and concave polygons; and complex polygons.
Polygons
Interactive Polygons
Definition of Regular Polygon
Definition of Irregular Polygon
☐ Understand what is meant by point symmetry
Point Symmetry
Rotational Symmetry
Symmetry Artist
☐ Understand what is meant by the vertex of an angle and adjacent angles
Adjacent Angles
Grade 5 | Geometry (Solid)
☐ Understand the Platonic Solids
Spinning Dodecahedron
Spinning Icosahedron
Platonic Solids Construction Tips
Spinning Octahedron
Spinning Tetrahedron
Platonic Solids
Spinning Cube (Hexahedron)
Cube Model Template
Octahedron Model Template
Tetrahedron Model Template
Dodecahedron Model Template
Icosahedron Model Template
Polyhedrons
Activity: Investigating Solids
☐ Construct models of polyhedra (including the Platonic solids) from their nets.
Cube Model Template
Tetrahedron Model Template
Octahedron Model Template
Dodecahedron Model Template
Icosahedron Model Template
Cube Net Template
Tetrahedron Net Template
Octahedron Net Template
Dodecahedron Net Template
Icosahedron Net Template
Pentomino Challenge
Pentomino Puzzle
Platonic Solids
Platonic Solids Construction Tips
Pyramids
Prisms with Examples
Animated Polyhedron Models
☐ Understand polyhedrons and classify them as Platonic solids, prisms, pyramids etc
Polyhedrons
Platonic Solids
Prisms with Examples
Pyramids
Grade 5 | Algebra
☐ Define and use appropriate terminology when referring to constants, variables, operators, coefficients and algebraic expressions
Algebra - Definitions
Definition of Constant
Definition of Variable
Definition of Expression
Definition of Coefficient
Definition of Operator
☐ Translate simple verbal expressions into algebraic expressions
Introduction to Algebra
Introduction to Algebra - Multiplication
Definition of Problem
Solving Word Questions
☐ Substitute assigned values into variable expressions and evaluate using order of operations
Introduction to Algebra
Introduction to Algebra - Multiplication
Substitution
Order of Operations - BODMAS
Order of Operations - PEMDAS
Open Sentences
Order of Operations Calculator
☐ Solve simple one-step equations using basic whole-number facts
Introduction to Algebra
Introduction to Algebra - Multiplication
Smart Blocks
Open Sentences
☐ Solve and explain simple one-step equations using inverse operations involving whole numbers
Inverse
Reciprocal
Introduction to Algebra
Introduction to Algebra - Multiplication
Open Sentences
☐ Create and explain patterns and algebraic relationships (example: 2,4,6,8... is algebraically 2n (doubling))
Sequences
Pattern Match - Numbers
Number Sequences - Square, Cube and Fibonacci
Make your own Number Patterns
Definition of Number Pattern
☐ Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade geometric shapes)
Pattern Match - Numbers
Make your own Number Patterns
Definition of Pattern
Patterns
Shapes Freeplay
Pattern Match - Shapes
Definition of Number Pattern
Activity: Make a Mandala
Pattern Match - Colors
Number Sequences - Square, Cube and Fibonacci
☐ Know the difference between a closed sentence and an open sentence.
Open Sentences
Grade 5 | Coordinates
☐ Identify and plot points in the first quadrant
Alien Mask From Coordinates
Interactive Cartesian Coordinates
Diplodocus Using Coordinates
Definition of Quadrant (graph)
Definition of Point
Hit the Coordinate
Point
Grade 5 | Logic
☐ Use logical reasoning to solve problems involving various skills
Logic Puzzles
Welcome to Mathematics
Learning Mathematics
The Language of Mathematics
Definition of Problem
Grade 5 | Data
☐ Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)
What is Data?
Definition of Survey
☐ Display data in a line graph to show an increase or decrease over time
Data Graphs (Bar, Line, Pie)
Line Graphs
☐ Calculate the mean for a given set of data and use to describe a set of data
The Mean Machine
How to Calculate the Mean Value
Definition of Mean
Finding a Central Value
☐ Formulate conclusions and make predictions from graphs
Line Graphs
Pie Chart
Pictographs
Activity: Parking Spaces
Bar Graphs
Grade 5 | Estimation
☐ Justify the reasonableness of estimates
Estimation (Introduction)
Visual Estimation
Definition of Estimate
Estimation Tips and Tricks
Definition of Estimation
Estimation Games
☐ Estimate sums, differences, products, and quotients of decimals
Estimation (Introduction)
Estimation Games
Definition of Estimation
Definition of Estimate
Estimation Tips and Tricks
☐ Justify the reasonableness of answers using estimation
Estimation (Introduction)
Estimation Tips and Tricks
Definition of Estimation
Definition of Estimate
Estimation Games
Rounding Numbers
Grade 5 | Probability
☐ List the possible outcomes for a single-event experiment
Probability
The Spinner - Your Decision Maker
Activity: An Experiment with a Die
Activity: An Experiment with Dice
☐ Record experiment results using fractions/ratios
Probability
Ratios
Activity: An Experiment with a Die
Activity: An Experiment with Dice
☐ Create a sample space and determine the probability of a single event, given a simple experiment (e.g., rolling a number cube)
Fair Dice
Probability
The Spinner - Your Decision Maker
Activity: An Experiment with a Die
Activity: An Experiment with Dice
☐ Locate probabilities on a probability number line, and know the meaning of the probabilities 0, 1/2 and 1.
Probability Line
Probability